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Finding the Third Proportional to 500,493 and 775,620

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Solution

The third proportional to 500,493 and 775,620 is: 1,201,987.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,493 : 775,620 = 775,620 : x
  2. Step 2: Convert to fraction form
    500,493/775,620 = 775,620/x
  3. Step 3: Cross multiply
    500,493x = 775,620 × 775,620
  4. Step 4: Simplify right side
    500,493x = 601,586,384,400
  5. Step 5: Solve for x
    x = 601,586,384,400/500,493
  6. Step 6: Final answer
    x = 1,201,987.61

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.